API for minting now NFTs

Please point me to API which can be used to find the minting in progress collection details

You can track the NFT minting transaction by tracking the user transactions from the database.

Please elaborate more. Where can I track user transactions?

not sure yet what you need

this gives the list of NFTs for a wallet address
https://docs.moralis.io/moralis-dapp/web3-api/account#getnfts

this returns all the token ids for a contract:
https://docs.moralis.io/moralis-dapp/web3-api/token#getalltokenids

I need to know what all new NFTs got minted in say last 10 mins or so.

you can sync an event specific to a mint transaction in your server db for a specific contract

https://docs.moralis.io/moralis-dapp/automatic-transaction-sync/smart-contract-events

thank you. this helps!